%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : LCL365+2 : TPTP v9.3.1. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n006.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 11:52:06 AM UTC 2026
% Result : Theorem 9.59s 2.06s
% Output : Refutation 9.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% Syntax : Number of formulae : 48 ( 16 unt; 2 def)
% Number of atoms : 95 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 99 ( 52 ~; 43 |; 1 &)
% ( 2 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 12 ( 2 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-1 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 166 ( 0 sgn 166 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( ( is_a_theorem(implies(X0,X1))
& is_a_theorem(X0) )
=> is_a_theorem(X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',condensed_detachment) ).
fof(f2,axiom,
! [X0,X1,X2,X3,X4,X5,X6,X7,X8,X9,X10,X11,X12,X13,X14] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f2) ).
fof(f3,conjecture,
is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(n(z),y),u))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',f3) ).
fof(f4,negated_conjecture,
~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(n(z),y),u))),
inference(negated_conjecture,[status(cth)],[f3]) ).
fof(f5,plain,
~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(n(z),y),u))),
inference(flattening,[],[f4]) ).
fof(f6,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( is_a_theorem(X1)
| ~ is_a_theorem(implies(X0,X1))
| ~ is_a_theorem(X0) ),
inference(flattening,[],[f6]) ).
fof(f8,plain,
! [X0,X1] :
( ~ is_a_theorem(implies(X0,X1))
| is_a_theorem(X1)
| ~ is_a_theorem(X0) ),
inference(cnf_transformation,[],[f7]) ).
fof(f9,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] : is_a_theorem(implies(implies(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5),implies(implies(implies(implies(implies(implies(implies(X6,X7),implies(implies(X7,X8),implies(X6,X8))),implies(implies(implies(n(X9),X9),X9),X10)),X10),implies(implies(X11,implies(n(X11),X12)),X13)),X13),X14)),X14)),
inference(cnf_transformation,[],[f2]) ).
fof(f10,plain,
~ is_a_theorem(implies(implies(implies(x,implies(implies(y,z),z)),u),implies(implies(n(z),y),u))),
inference(cnf_transformation,[],[f5]) ).
fof(f11,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X14,X4,X5,X12,X13] :
( ~ is_a_theorem(implies(implies(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X6)),X6),implies(implies(implies(implies(implies(implies(implies(X7,X8),implies(implies(X8,X9),implies(X7,X9))),implies(implies(implies(n(X10),X10),X10),X11)),X11),implies(implies(X12,implies(n(X12),X13)),X14)),X14),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f9,f8]) ).
fof(f12,plain,
! [X0,X1] : is_a_theorem(implies(X0,implies(X1,X0))),
inference(resolution,[],[f11,f9]) ).
fof(f14,plain,
! [X2,X3,X0,X1,X4,X5] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),implies(implies(X2,implies(X3,implies(X4,X3))),X5)),X5)),
inference(resolution,[],[f12,f11]) ).
fof(f15,plain,
! [X2,X0,X1] : is_a_theorem(implies(X0,implies(X1,implies(X2,X1)))),
inference(resolution,[],[f14,f11]) ).
fof(f16,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ is_a_theorem(implies(implies(X1,implies(X2,X1)),implies(implies(X3,implies(X4,implies(X5,X4))),X0)))
| is_a_theorem(X0) ),
inference(resolution,[],[f14,f8]) ).
fof(f18,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] : is_a_theorem(implies(X0,implies(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X8)),X8))),
inference(resolution,[],[f15,f11]) ).
fof(f19,plain,
! [X2,X3,X0,X1,X8,X6,X7,X4,X5] :
( is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))
| ~ is_a_theorem(X8) ),
inference(resolution,[],[f18,f8]) ).
fof(f21,definition,
( spl0_1
<=> ! [X8] : ~ is_a_theorem(X8) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f22,plain,
( ! [X8] : ~ is_a_theorem(X8)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f24,definition,
( spl0_2
<=> ! [X5,X4,X2,X7,X0,X6,X3,X1] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f25,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] : is_a_theorem(implies(implies(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4),implies(implies(X5,implies(n(X5),X6)),X7)),X7))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f24]) ).
fof(f26,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f19,f24,f21]) ).
fof(f28,plain,
( ! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ is_a_theorem(implies(implies(implies(implies(implies(X1,X2),implies(implies(X2,X3),implies(X1,X3))),implies(implies(implies(n(X4),X4),X4),X5)),X5),implies(implies(X6,implies(n(X6),X7)),X0)))
| is_a_theorem(X0) )
| ~ spl0_2 ),
inference(resolution,[],[f25,f8]) ).
fof(f31,plain,
( ! [X2,X3,X0,X1,X4] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))),implies(implies(implies(n(X3),X3),X3),X4)),X4))
| ~ spl0_2 ),
inference(resolution,[],[f28,f12]) ).
fof(f54,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f22,f14]) ).
fof(f67,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f54]) ).
fof(f81,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(X0,implies(X1,X0)),X2),implies(X3,X2)))
| ~ spl0_2 ),
inference(resolution,[],[f16,f31]) ).
fof(f83,plain,
( ! [X0,X1] : is_a_theorem(implies(X0,implies(implies(n(X1),X1),X1)))
| ~ spl0_2 ),
inference(resolution,[],[f16,f25]) ).
fof(f90,plain,
( ! [X2,X0,X1] : is_a_theorem(implies(implies(X0,X1),implies(implies(X1,X2),implies(X0,X2))))
| ~ spl0_2 ),
inference(resolution,[],[f81,f28]) ).
fof(f96,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,X1)))
| ~ is_a_theorem(implies(X2,X0)) )
| ~ spl0_2 ),
inference(resolution,[],[f90,f8]) ).
fof(f97,plain,
( ~ is_a_theorem(implies(implies(n(z),y),implies(x,implies(implies(y,z),z))))
| ~ spl0_2 ),
inference(resolution,[],[f96,f10]) ).
fof(f101,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(X1,X2))
| is_a_theorem(implies(X0,X2))
| ~ is_a_theorem(implies(X0,X1)) )
| ~ spl0_2 ),
inference(resolution,[],[f96,f8]) ).
fof(f107,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(X0,implies(implies(X1,X2),implies(X3,X2))))
| ~ is_a_theorem(implies(X0,implies(X3,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f101,f90]) ).
fof(f109,plain,
( ! [X2,X0,X1] :
( is_a_theorem(implies(X0,implies(X1,X2)))
| ~ is_a_theorem(implies(X0,X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f101,f12]) ).
fof(f124,plain,
( ! [X2,X0,X1] :
( ~ is_a_theorem(implies(implies(X0,implies(X1,X0)),X2))
| is_a_theorem(X2) )
| ~ spl0_2 ),
inference(resolution,[],[f109,f16]) ).
fof(f138,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ is_a_theorem(implies(implies(X3,implies(X4,X3)),implies(X2,X0)))
| is_a_theorem(implies(implies(X0,X1),implies(X2,X1))) )
| ~ spl0_2 ),
inference(resolution,[],[f124,f107]) ).
fof(f160,plain,
( ! [X2,X3,X0,X1] : is_a_theorem(implies(implies(implies(implies(X0,X1),implies(X2,X1)),X3),implies(implies(X2,X0),X3)))
| ~ spl0_2 ),
inference(resolution,[],[f138,f31]) ).
fof(f182,plain,
( ! [X2,X3,X0,X1] :
( ~ is_a_theorem(implies(implies(implies(X1,X3),implies(X0,X3)),X2))
| is_a_theorem(implies(implies(X0,X1),X2)) )
| ~ spl0_2 ),
inference(resolution,[],[f160,f8]) ).
fof(f191,plain,
( ! [X2,X3,X0,X1] :
( is_a_theorem(implies(implies(X0,X1),implies(X2,implies(X0,X3))))
| ~ is_a_theorem(implies(X2,implies(X1,X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f182,f96]) ).
fof(f204,plain,
( ! [X2,X3,X0,X1,X4] :
( is_a_theorem(implies(implies(X1,X4),implies(X0,implies(implies(X4,X2),X3))))
| ~ is_a_theorem(implies(X0,implies(implies(X1,X2),X3))) )
| ~ spl0_2 ),
inference(resolution,[],[f191,f182]) ).
fof(f211,plain,
( ~ is_a_theorem(implies(x,implies(implies(n(z),z),z)))
| ~ spl0_2 ),
inference(resolution,[],[f204,f97]) ).
fof(f218,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f211,f83]) ).
fof(f219,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f218]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f26]) ).
cnf(s9,plain,
~ spl0_1,
inference(sat_conversion,[],[f67]) ).
cnf(s22,plain,
~ spl0_2,
inference(sat_conversion,[],[f219]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s1,s22,s9]) ).
fof(f220,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LCL365+2 : TPTP v9.3.1. Released v9.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 % Computer : n006.cluster.edu
% 0.14/0.40 % Model : x86_64 x86_64
% 0.14/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.40 % Memory : 8046.5625MB
% 0.14/0.40 % OS : Linux 6.8.0-71-generic
% 0.14/0.40 % CPULimit : 300
% 0.14/0.40 % WCLimit : 300
% 0.14/0.40 % DateTime : Sun Sep 27 15:36:40 UTC 2026
% 0.14/0.40 % CPUTime :
% 0.14/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.44 Running first-order theorem proving
% 0.14/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.00/1.96 % (3116463)Detected formulas, will run a generic FOF schedule.
% 8.00/1.96 % (3116505)dis-21_1_sil=8000:lcm=predicate:random_seed=2405897676:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 8.00/1.96 % (3116500)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2133743138:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 8.00/1.96 % (3116499)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=1606513311:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 8.00/1.96 % (3116504)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3921014623:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 8.00/1.96 % (3116501)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=1040831648:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 8.00/1.96 % (3116502)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2948715651:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 8.00/1.96 % (3116503)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2619797024:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 8.00/1.96 % (3116502)Refutation not found, incomplete strategy
% 8.00/1.96 % (3116502)------------------------------
% 8.00/1.96 % (3116502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116502)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116502)Termination reason: Refutation not found, incomplete strategy
% 8.00/1.96 % (3116502)Time elapsed: 0.001 s
% 8.00/1.96 % (3116502)Peak memory usage: 87 MB
% 8.00/1.96 % (3116505)Instruction limit reached!
% 8.00/1.96 % (3116505)------------------------------
% 8.00/1.96 % (3116505)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116505)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116505)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116505)Termination reason: Instruction limit
% 8.00/1.96 % (3116505)Termination phase: Saturation
% 8.00/1.96 % (3116505)Time elapsed: 0.048 s
% 8.00/1.96 % (3116505)Peak memory usage: 90 MB
% 8.00/1.96 % (3116505)Instructions burned: 135 (million)
% 8.00/1.96 % (3116503)Instruction limit reached!
% 8.00/1.96 % (3116503)------------------------------
% 8.00/1.96 % (3116503)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116503)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116503)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116503)Termination reason: Instruction limit
% 8.00/1.96 % (3116503)Termination phase: Saturation
% 8.00/1.96 % (3116503)Time elapsed: 0.085 s
% 8.00/1.96 % (3116503)Peak memory usage: 88 MB
% 8.00/1.96 % (3116503)Instructions burned: 119 (million)
% 8.00/1.96 % (3116504)Instruction limit reached!
% 8.00/1.96 % (3116504)------------------------------
% 8.00/1.96 % (3116504)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116504)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116504)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116504)Termination reason: Instruction limit
% 8.00/1.96 % (3116504)Termination phase: Saturation
% 8.00/1.96 % (3116504)Time elapsed: 0.109 s
% 8.00/1.96 % (3116504)Peak memory usage: 89 MB
% 8.00/1.96 % (3116504)Instructions burned: 139 (million)
% 8.00/1.96 % (3116517)lrs+10_1_sil=8000:sp=occurrence:random_seed=3075438629:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 8.00/1.96 % (3116539)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3339455023:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 8.00/1.96 % (3116502)------------------------------
% 8.00/1.96 % (3116502)------------------------------
% 8.00/1.96 % (3116542)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4141025237:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 8.00/1.96 % (3116517)Instruction limit reached!
% 8.00/1.96 % (3116517)------------------------------
% 8.00/1.96 % (3116517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116517)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116517)Termination reason: Instruction limit
% 8.00/1.96 % (3116517)Termination phase: Saturation
% 8.00/1.96 % (3116517)Time elapsed: 0.148 s
% 8.00/1.96 % (3116517)Peak memory usage: 91 MB
% 8.00/1.96 % (3116517)Instructions burned: 287 (million)
% 8.00/1.96 % (3116539)Instruction limit reached!
% 8.00/1.96 % (3116539)------------------------------
% 8.00/1.96 % (3116539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116539)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116539)Termination reason: Instruction limit
% 8.00/1.96 % (3116539)Termination phase: Saturation
% 8.00/1.96 % (3116539)Time elapsed: 0.141 s
% 8.00/1.96 % (3116539)Peak memory usage: 88 MB
% 8.00/1.96 % (3116539)Instructions burned: 158 (million)
% 8.00/1.96 % (3116557)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=823282430:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 8.00/1.96 % (3116557)Refutation not found, incomplete strategy
% 8.00/1.96 % (3116557)------------------------------
% 8.00/1.96 % (3116557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116557)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116557)Termination reason: Refutation not found, incomplete strategy
% 8.00/1.96 % (3116557)Time elapsed: 0.0000 s
% 8.00/1.96 % (3116557)Peak memory usage: 87 MB
% 8.00/1.96 % (3116556)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1130188802:s2a=on:i=248:s2at=1.23:gtg=position_2994 on theBenchmark for (2994ds/248Mi)
% 8.00/1.96 % (3116542)Instruction limit reached!
% 8.00/1.96 % (3116542)------------------------------
% 8.00/1.96 % (3116542)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116542)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116542)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116542)Termination reason: Instruction limit
% 8.00/1.96 % (3116542)Termination phase: Saturation
% 8.00/1.96 % (3116542)Time elapsed: 0.281 s
% 8.00/1.96 % (3116542)Peak memory usage: 90 MB
% 8.00/1.96 % (3116542)Instructions burned: 326 (million)
% 8.00/1.96 % (3116560)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1176983496:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 8.00/1.96 % (3116557)------------------------------
% 8.00/1.96 % (3116557)------------------------------
% 8.00/1.96 % (3116556)Instruction limit reached!
% 8.00/1.96 % (3116556)------------------------------
% 8.00/1.96 % (3116556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116556)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116556)Termination reason: Instruction limit
% 8.00/1.96 % (3116556)Termination phase: Saturation
% 8.00/1.96 % (3116556)Time elapsed: 0.142 s
% 8.00/1.96 % (3116556)Peak memory usage: 88 MB
% 8.00/1.96 % (3116556)Instructions burned: 249 (million)
% 8.00/1.96 % (3116567)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=3786357240:cts=off:i=113:fsr=off:ss=included:sgt=4_2991 on theBenchmark for (2991ds/113Mi)
% 8.00/1.96 % (3116594)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=2430841833:i=127:av=off:fsr=off:sup=off_2990 on theBenchmark for (2990ds/127Mi)
% 8.00/1.96 % (3116567)Instruction limit reached!
% 8.00/1.96 % (3116567)------------------------------
% 8.00/1.96 % (3116567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.00/1.96 % (3116567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.00/1.96 % (3116567)CaDiCaL version: 2.1.3
% 8.00/1.96 % (3116567)Termination reason: Instruction limit
% 8.00/1.96 % (3116567)Termination phase: Saturation
% 8.00/1.96 % (3116567)Time elapsed: 0.064 s
% 8.00/1.96 % (3116567)Peak memory usage: 88 MB
% 8.00/1.96 % (3116567)Instructions burned: 113 (million)
% 8.00/1.96 % (3116500)First to succeed.
% 8.00/1.96 % (3116500)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3116463"
% 8.00/1.96 % (3116594)Instruction limit reached!
% 8.00/1.96 % (3116594)------------------------------
% 8.00/1.96 % (3116594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.06 % (3116594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.06 % (3116594)CaDiCaL version: 2.1.3
% 9.59/2.06 % (3116594)Termination reason: Instruction limit
% 9.59/2.06 % (3116594)Termination phase: Saturation
% 9.59/2.06 % (3116594)Time elapsed: 0.037 s
% 9.59/2.06 % (3116594)Peak memory usage: 87 MB
% 9.59/2.06 % (3116594)Instructions burned: 127 (million)
% 9.59/2.06 % (3116601)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=3975866544:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2990 on theBenchmark for (2990ds/114Mi)
% 9.59/2.06 % (3116601)Instruction limit reached!
% 9.59/2.06 % (3116601)------------------------------
% 9.59/2.06 % (3116601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.06 % (3116601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.06 % (3116601)CaDiCaL version: 2.1.3
% 9.59/2.06 % (3116601)Termination reason: Instruction limit
% 9.59/2.06 % (3116601)Termination phase: Saturation
% 9.59/2.06 % (3116601)Time elapsed: 0.063 s
% 9.59/2.06 % (3116601)Peak memory usage: 89 MB
% 9.59/2.06 % (3116601)Instructions burned: 114 (million)
% 9.59/2.06 % (3116646)dis-1010_1_sil=16000:fde=unused:sp=occurrence:sos=on:random_seed=3314009325:i=437:sd=1:aac=none:ss=included_2989 on theBenchmark for (2989ds/437Mi)
% 9.59/2.06 % (3116646)Refutation not found, incomplete strategy
% 9.59/2.06 % (3116646)------------------------------
% 9.59/2.06 % (3116646)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.06 % (3116646)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.06 % (3116646)CaDiCaL version: 2.1.3
% 9.59/2.06 % (3116646)Termination reason: Refutation not found, incomplete strategy
% 9.59/2.06 % (3116646)Time elapsed: 0.0000 s
% 9.59/2.06 % (3116646)Peak memory usage: 88 MB
% 9.59/2.06 % (3116640)lrs+10_1_sil=8000:sp=occurrence:random_seed=4264784046:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2989 on theBenchmark for (2989ds/907Mi)
% 9.59/2.06 % (3116666)lrs-1002_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:npcc=on:random_seed=2704264223:i=5202:ss=axioms:sgt=16_2988 on theBenchmark for (2988ds/5202Mi)
% 9.59/2.06 % (3116500)Refutation found. Thanks to Tanya!
% 9.59/2.06 % SZS status Theorem for theBenchmark
% 9.59/2.06 % SZS output start Proof for theBenchmark
% See solution above
% 9.59/2.06 % (3116500)------------------------------
% 9.59/2.06 % (3116500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.59/2.06 % (3116500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.59/2.06 % (3116500)CaDiCaL version: 2.1.3
% 9.59/2.06 % (3116500)Termination reason: Refutation
% 9.59/2.06 % (3116500)Time elapsed: 0.889 s
% 9.59/2.06 % (3116500)Peak memory usage: 129 MB
% 9.59/2.06 % (3116500)Instructions burned: 1001 (million)
% 9.59/2.06 % (3116500)------------------------------
% 9.59/2.06 % (3116500)------------------------------
% 9.59/2.06 % (3116463)Success in time 1.311 s
% 9.59/2.06 % Vampire exiting
%------------------------------------------------------------------------------